82887761 has 16 divisors (see below), whose sum is σ = 92207808. Its totient is φ = 73881600.

The previous prime is 82887737. The next prime is 82887797. The reversal of 82887761 is 16778828.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 82887761 - 2¹⁸ = 82625617 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (82887361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139481 + ... + 140073.

It is an arithmetic number, because the mean of its divisors is an integer number (5762988).

Almost surely, 2^82887761 is an apocalyptic number.

It is an amenable number.

82887761 is a deficient number, since it is larger than the sum of its proper divisors (9320047).

82887761 is a wasteful number, since it uses less digits than its factorization.

82887761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832.

The product of its digits is 301056, while the sum is 47.

The square root of 82887761 is about 9104.2715798684. The cubic root of 82887761 is about 436.0103541715.

The spelling of 82887761 in words is "eighty-two million, eight hundred eighty-seven thousand, seven hundred sixty-one".